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  • A radar has a power of 1 Kw and is operating at a frequency of 10 GHz. It is located on a mountain top of height 500 m. The maximum distance upto which it can detect object located on the surface o

A radar has a power of 1 Kw and is operating at a frequency of 10 GHz. It is located on a mountain top of height 500 m. The maximum distance upto which it can detect object located on the surface of the earth (Radius of earth = 6.4 x 106m) is

Option: 1

80 km


Option: 2

16 km


Option: 3

40 km


Option: 4

64 km


Answers (1)

best_answer

Maximum distance on earth where object can be detected is d then

(h+R)^{2}=d^{2}+R^{2}

d^{2}=h^{2}+2Rh

\because \; \; \; h< < R

\therefore \; \; \; d=\sqrt{2Rh}

d=\sqrt{2\times 6.4\times 10^{6}\times 500}=8\times 10^{4}m=80\, km

Posted by

seema garhwal

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